Finite Group Databasebeta

← #917937

Subgroups — #917937

Order 512.

3834 conjugacy classes of subgroups.

The subgroup lattice has 827 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2542C211yesmaximal, characteristic, complemented
2C2×#2415C212yesmaximal, complemented
3C2×#2616C212yesmaximal, complemented
4C2×#2388C211yesmaximal, characteristic
5#17106C212yesmaximal, complemented
6#17088C212yesmaximal, complemented
7#16526C214yesmaximal, complemented
8#16312C214yesmaximal, complemented
9#15643C212yesmaximal, complemented
10#15625C212yesmaximal, complemented
11#15179C212yesmaximal, complemented
12#15178C212yesmaximal, complemented
13#15177C212yesmaximal, complemented
14#13993C212yesmaximal, complemented
15#13871C211yesmaximal, characteristic, complemented
16C23×#41C2211yescharacteristic
17C22×C4⋊Q8C2211yescharacteristic
18C22×C22⋊Q8C2212yes—
19C22×C22⋊Q8C2212yes—
20C22×C22⋊Q8C2212yes—
21C22×C22⋊Q8C2212yes—
22C22×C4×D4C2212yes—
23C22×C4×D4C2211yescharacteristic
24C22×#117C2211yescharacteristic
25#2616—216no—
26#2542—28no—
27#2415—216no—
28C2×#399C2212yes—
29C2×#399C2212yes—
30C2×#397C2214yes—
31#2388—28no—
32C2×#395C2211yescharacteristic
33C2×#395C2214yes—
34C2×#394C2211yescharacteristic
35C2×#394C2214yes—
36C2×#394C2214yes—
37C2×#394C2214yes—
38C2×#394C2214yes—
39C2×#394C2212yes—
40C2×#393C2211yescharacteristic
41C2×#392C2212yes—
42C2×#392C2211yescharacteristic
43C2×#391C2212yes—
44C2×#391C2212yes—
45C2×#390C2212yes—
46C2×#389C2214yes—
47C2×#389C2212yes—
48C2×#388C2214yes—
49C2×#384C2212yes—
50C2×#380C2212yes—
51C2×#380C2212yes—
52C2×#380C2211yescharacteristic
53C2×#380C2212yes—
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2212yes—
56C2×C4×C22⋊C4C2211yescharacteristic
57#1444C2214yes—
58#1444C2214yes—
59#1444C2214yes—
60#1443C2214yes—
61#1442C2214yes—
62#1441C2214yes—
63#1440C2212yes—
64#1440C2214yes—
65#1439C2214yes—
66#1439C2214yes—
67#1439C2214yes—
68#1439C2214yes—
69#1439C2214yes—
70#1439C2214yes—
71#1438C2212yes—
72#1438C2214yes—
73#1437C2214yes—
74#1437C2212yes—
75#1436C2212yes—
76#1436C2214yes—
77C4⋊#95C2212yes—
78C4⋊#95C2212yes—
79C22×#41—28no—
80C22×#41—24no—
81C22×#41—42no—
82C22×#41—44no—
83C22×#41—42no—
84C23×Q8C2312yes—
85C23×Q8C2311yescharacteristic
86C23×D4C2312yes—
87C23×D4C2311yescharacteristic
88C23×D4C2312yes—
89C23×D4C2311yescharacteristic
90C24×C4C2312yes—
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C2×C4⋊Q8—24no—
94C2×C4⋊Q8—42no—
95C2×C4⋊Q8—42no—
96C2×C22⋊Q8—28no—
97C2×C22⋊Q8—28no—
98C2×C22⋊Q8—28no—
99C2×C22⋊Q8—28no—
100C2×C22⋊Q8—28no—
101C2×C22⋊Q8—28no—
102C2×C22⋊Q8—28no—
103C2×C22⋊Q8—44no—
104C2×C22⋊Q8—44no—
105C2×C22⋊Q8—44no—
106C2×C22⋊Q8—44no—
107C2×C22⋊Q8—44no—
108C2×C4×D4—28no—
109C2×C4×D4—28no—
110C2×C4×D4—42no—
111C2×C4×D4—42no—
112C2×C4×D4—44no—
113C2×C4×D4D418yes—
114C2×#117—28no—
115C2×#117—42no—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2314yes—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2314yes—
121C22×C4⋊C4C2314yes—
122C22×C4⋊C4C2312yes—
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2314yes—
125C22×C4⋊C4C2312yes—
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2311yescharacteristic
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2314yes—
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2314yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2311yescharacteristic
142C22×C22⋊C4C2314yes—
143C22×C22⋊C4C2311yescharacteristic
144C22×C42C2312yes—
145C22×C42C2312yes—
146C22×C42C2311yescharacteristic
147C22×C42C2312yes—
148#399—28no—
149#399—28no—
150#397—216no—
151#395—24no—
152#395—216no—
153#394—24no—
154#394—216no—
155#394—216no—
156#394—28no—
157#394—216no—
158#394—216no—
159#393—24no—
160#392—28no—
161#392—24no—
162#391—28no—
163#391—44no—
164#390—28no—
165#389—28no—
166#389—216no—
167#388—216no—
168#384—28no—
169#380—28no—
170#380—28no—
171#380—42no—
172#380D4116yescomplemented
173C4×C4⋊C4—24no—
174C4×C22⋊C4—24no—
175C4×C22⋊C4—28no—
176C2×#95C2312yes—
177C2×#95C2311yescharacteristic
178C2×#95C2311yescharacteristic
179C2×#95C2312yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2312yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2314yes—
190C2×#95C2312yes—
191C2×#95C2314yes—
192C2×#95C2314yes—
193C2×#95C2314yes—
194C25C2411yescharacteristic
195C25C2411yescharacteristic
196C25C2412yes—
197C2×#41—432no—
198C2×#41—416no—
199C2×#41—416no—
200C2×#41—432no—
201C2×#41—416no—
202C22×Q8—24no—
203C22×Q8—24no—
204C22×Q8—24no—
205C22×Q8—22no—
206C22×Q8—24no—
207C22×Q8—24no—
208C22×Q8—24no—
209C22×Q8—24no—
210C22×Q8—24no—
211C22×Q8—41no—
212C22×Q8—42no—
213C22×Q8—41no—
214C22×D4—24no—
215C22×D4—24no—
216C22×D4—24no—
217C22×D4—24no—
218C22×D4—24no—
219C22×D4—22no—
220C22×D4—24no—
221C22×D4—24no—
222C22×D4—24no—
223C22×D4—41no—
224C22×D4—41no—
225C22×D4—42no—
226C22×D4—42no—
227C22×D4—42no—
228C22×D4—42no—
229C22×D4—42no—
230C22×D4—42no—
231C22×D4—41no—
232C22×D4—41no—
233C22×D4—42no—
234C22×D4—42no—
235C22×D4—42no—
236C22×D4—42no—
237C22×D4C2×D414yes—
238C23×C4—24no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—24no—
242C23×C4—22no—
243C23×C4—24no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—24no—
247C23×C4—22no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—24no—
251C23×C4—24no—
252C23×C4C2×D414yes—
253C23×C4C2×D418yes—
254C23×C4C2×D414yes—
255C23×C4C2414yes—
256C23×C4C2414yes—
257C23×C4C2412yes—
258C23×C4C2414yes—
259C23×C4C2414yes—
260C23×C4C2411yescharacteristic
261C23×C4C2411yescharacteristic
262C23×C4C2412yes—
263C23×C4C2411yescharacteristic
264C23×C4C2412yes—
265C23×C4C2411yescharacteristic
266C23×C4C2411yescharacteristic
267C4⋊Q8—416no—
268C22⋊Q8—432no—
269C22⋊Q8—432no—
270C22⋊Q8—432no—
271C22⋊Q8—432no—
272C4×D4—416no—
273C4×D4—432no—
274#117—416no—
275C2×C4⋊C4—24no—
276C2×C4⋊C4—24no—
277C2×C4⋊C4—24no—
278C2×C4⋊C4—24no—
279C2×C4⋊C4—24no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—28no—
283C2×C4⋊C4—28no—
284C2×C4⋊C4—28no—
285C2×C4⋊C4—28no—
286C2×C4⋊C4—28no—
287C2×C4⋊C4—28no—
288C2×C4⋊C4—28no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—28no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—28no—
295C2×C4⋊C4—44no—
296C2×C4⋊C4—41no—
297C2×C4⋊C4—41no—
298C2×C4⋊C4—42no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—44no—
302C2×C4⋊C4—44no—
303C2×C4⋊C4—44no—
304C2×C4⋊C4—42no—
305C2×C4⋊C4—42no—
306C2×C4⋊C4—42no—
307C2×C4⋊C4—42no—
308C2×C4⋊C4C2×D418yes—
309C2×C4⋊C4C2×D418yes—
310C2×C4⋊C4C2×D414yes—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—28no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—28no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—28no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—28no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—28no—
331C2×C22⋊C4—28no—
332C2×C22⋊C4—44no—
333C2×C22⋊C4—44no—
334C2×C22⋊C4—42no—
335C2×C22⋊C4—42no—
336C2×C22⋊C4—42no—
337C2×C22⋊C4—41no—
338C2×C22⋊C4—41no—
339C2×C22⋊C4—41no—
340C2×C22⋊C4—41no—
341C2×C22⋊C4—42no—
342C2×C22⋊C4—42no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—42no—
354C2×C22⋊C4C2×D414yes—
355C2×C22⋊C4C2×D414yes—
356C2×C22⋊C4C2×D4116yes—
357C2×C42—22no—
358C2×C42—22no—
359C2×C42—28no—
360C2×C42—24no—
361C2×C42—24no—
362C2×C42—24no—
363C2×C42—24no—
364C2×C42—42no—
365C2×C42—44no—
366C2×C42C2×D414yes—
367#95—22no—
368#95—24no—
369#95—24no—
370#95—22no—
371#95—24no—
372#95—28no—
373#95—28no—
374#95—28no—
375#95—28no—
376#95—28no—
377#95—28no—
378#95—44no—
379#95—44no—
380#95—44no—
381#95—42no—
382#95—44no—
383#95—44no—
384#95C2×D4116yes—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—22no—
389C24—21no—
390C24—21no—
391C24—22no—
392C24—22no—
393C24—22no—
394C24—22no—
395C24—22no—
396C24—21no—
397C24—21no—
398C24—22no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24—22no—
415C24C22×D412yes—
416C24C22×D412yes—
417C24C22×D414yes—
418C24C2511yescharacteristic
419#41—4128no—
420C2×Q8—48no—
421C2×Q8—44no—
422C2×Q8—44no—
423C2×Q8—48no—
424C2×Q8—44no—
425C2×Q8—48no—
426C2×Q8—48no—
427C2×Q8—48no—
428C2×Q8—48no—
429C2×Q8—48no—
430C2×Q8—48no—
431C2×Q8—48no—
432C2×D4—28no—
433C2×D4—44no—
434C2×D4—44no—
435C2×D4—48no—
436C2×D4—48no—
437C2×D4—48no—
438C2×D4—48no—
439C2×D4—48no—
440C2×D4—48no—
441C2×D4—48no—
442C2×D4—48no—
443C2×D4—44no—
444C2×D4—48no—
445C2×D4—48no—
446C2×D4—44no—
447C2×D4—48no—
448C2×D4—48no—
449C2×D4—48no—
450C2×D4—48no—
451C2×D4—48no—
452C2×D4—48no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—44no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—28no—
496C22×C4—28no—
497C22×C4—216no—
498C22×C4—216no—
499C22×C4—216no—
500C22×C4—216no—
501C22×C4—216no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—24no—
521C22×C4—24no—
522C22×C4—24no—
523C22×C4—48no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—44no—
528C22×C4—48no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—48no—
533C22×C4C22×D412yes—
534C22×C4C22×D418yes—
535C22×C4C22×D418yes—
536C22×C4C22×D412yes—
537C22×C4C22×D414yes—
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C22×D412yes—
541C22×C4C22×D414yes—
542C22×C4H(5,𝔽2)12yes—
543C22×C4H(5,𝔽2)12yes—
544C22×C4H(5,𝔽2)14yes—
545C22×C42−1+414yes—
546C22×C42−1+414yes—
547C4⋊C4—216no—
548C4⋊C4—216no—
549C4⋊C4—44no—
550C4⋊C4—416no—
551C4⋊C4—48no—
552C4⋊C4—416no—
553C4⋊C4—416no—
554C4⋊C4—416no—
555C4⋊C4—416no—
556C4⋊C4—48no—
557C4⋊C4—48no—
558C4⋊C4—48no—
559C22⋊C4—416no—
560C22⋊C4—44no—
561C22⋊C4—44no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—48no—
567C22⋊C4—416no—
568C22⋊C4—416no—
569C22⋊C4—416no—
570C22⋊C4—416no—
571C22⋊C4—48no—
572C22⋊C4—88no—
573C22⋊C4—88no—
574C22⋊C4—84no—
575C42—28no—
576C42—48no—
577C42—48no—
578C42—48no—
579C23—22no—
580C23—22no—
581C23—24no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—41no—
603C23—42no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—41no—
620C23—42no—
621C23—41no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—41no—
647C23—41no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—41no—
654C23—41no—
655C23—42no—
656C23C23×D411yescharacteristic
657C23C23×D412yes—
658C23C2×H(5,𝔽2)11yescharacteristic
659C23C2×H(5,𝔽2)11yescharacteristic
660C23C2×H(5,𝔽2)12yes—
661C23C2×2−1+412yes—
662C23C2×2−1+412yes—
663C23#58512yes—
664C23#58512yes—
665Q8—416no—
666Q8—816no—
667D4—416no—
668D4—432no—
669D4—416no—
670D4—432no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—28no—
680C2×C4—28no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—28no—
686C2×C4—28no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—28no—
691C2×C4—28no—
692C2×C4—24no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—41no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4—41no—
717C2×C4—41no—
718C2×C4—416no—
719C2×C4—416no—
720C2×C4—432no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—42no—
732C2×C4—44no—
733C2×C4—42no—
734C2×C4—42no—
735C2×C4—44no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—44no—
739C2×C4—42no—
740C2×C4—42no—
741C2×C4—44no—
742C2×C4#53414yes—
743C2×C4#53518yes—
744C2×C4#53614yes—
745C2×C4D4218yes—
746C2×C4D4214yes—
747C2×C4#56014yes—
748C22—42no—
749C22—42no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—44no—
755C22—42no—
756C22—42no—
757C22—42no—
758C22—44no—
759C22—42no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—44no—
764C22—44no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22—82no—
769C22—82no—
770C22—82no—
771C22—82no—
772C22—82no—
773C22—82no—
774C22—82no—
775C22—82no—
776C22—82no—
777C22—82no—
778C22—82no—
779C22—82no—
780C22—82no—
781C22C2×#53411yescharacteristic
782C22C2×#53512yes—
783C22C2×#53611yescharacteristic
784C22#344911yescharacteristic
785C22C2×D4212yes—
786C22C2×D4211yescharacteristic
787C22#348512yes—
788C22#348912yes—
789C22#348912yes—
790C22#349712yes—
791C22#349912yes—
792C22C2×#56011yescharacteristic
793C22#353912yes—
794C22#354112yes—
795C22#354112yes—
796C22#354112yes—
797C22#354712yes—
798C22#354712yes—
799C22#355011yescharacteristic
800C22#355012yes—
801C22#355111yescharacteristic
802C4—24no—
803C4—42no—
804C4—48no—
805C4—44no—
806C4—48no—
807C4—42no—
808C4—42no—
809C4—44no—
810C4—84no—
811C4—84no—
812C4—82no—
813C4#266918yes—
814C2—82no—
815C2—82no—
816C2—84no—
817C2#3737611yescharacteristic
818C2#3743811yescharacteristic
819C2#3765612yes—
820C2#3934312yes—
821C2#4264312yes—
822C2#4291112yes—
823C2#4509112yes—
824C2C2×#266911yescharacteristic
825C2#5304512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2388C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#2542C2semidirect
2. C2×#2415C2semidirect
3. C2×#2616C2semidirect
5. #17106C2semidirect
6. #17088C2semidirect
7. #16526C2semidirect
8. #16312C2semidirect
9. #15643C2semidirect
10. #15625C2semidirect
11. #15179C2semidirect
12. #15178C2semidirect
13. #15177C2semidirect
14. #13993C2semidirect
15. #13871C2semidirect
172. #380D4semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#25422
C2×#24152
C2×#26162
C2×#23882
#171062
#170882
#165262
#163122
#156432
#156252
#151792
#151782
#151772
#139932
#138712